Reference no: EM132361903

1. Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution.

9.3 9.0 10.5 9.5 9.4 9.8 10.0 9.9 11.2 12.1

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean reading  and the sample standard deviation s. (in mg/dl; round your answers to two decimal places.) 

 x =   mg/dl 

s =   mg/dl 

(b) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (in mg/dl; round your answer to two decimal places.) 

lower limit mg/dl 

upper limit mg/dl 

(c) Based on your results in part (b), do you think this patient still has a calcium deficiency? Explain. 

Yes. This confidence interval suggests that the patient may still have a calcium deficiency.

Yes. This confidence interval suggests that the patient no longer has a calcium deficiency.

No. This confidence interval suggests that the patient may still have a calcium deficiency.

No. This confidence interval suggests that the patient no longer has a calcium deficiency.

2. Find z such that 89.8% of the standard normal curve lies to the left of z. (Enter a number. Round your answer to two decimal places.)

z = 

Sketch the area described. (Select the correct graph.)